QuestionWhat is the perimeter, in units, of polygon EFGHJK?
Studdy Solution
STEP 1
What is this asking? We need to find the total length around the polygon EFGHJK, which means adding up the lengths of all its sides! Watch out! Make sure to count the grid units carefully and don't mix up and coordinates.
STEP 2
1. Find the length of each side
2. Add all side lengths together
STEP 3
Let's **start** with side EF.
The coordinates of E are (, ) and F are (, ).
Since the -coordinates are the same, we only look at the difference in -coordinates.
The length of EF is units.
STEP 4
Next, side FG.
The coordinates of F are (, ) and G are (, ).
Since the -coordinates are the same, we look at the difference in -coordinates.
The length of FG is units.
STEP 5
Now, side GH.
The coordinates of G are (, ) and H are (, ).
Since the -coordinates are the same, we look at the difference in -coordinates.
The length of GH is units.
STEP 6
On to side HJ.
The coordinates of H are (, ) and J are (, ).
Since the -coordinates are the same, we look at the difference in -coordinates.
The length of HJ is units.
STEP 7
Almost there!
Side JK.
The coordinates of J are (, ) and K are (, ).
Since the -coordinates are the same, we look at the difference in -coordinates.
The length of JK is units.
STEP 8
Last one, side KE.
The coordinates of K are (, ) and E are (, ).
Since the -coordinates are the same, we look at the difference in -coordinates.
The length of KE is units.
STEP 9
Now, we **add** up all the side lengths to find the **perimeter**: units.
STEP 10
The perimeter of polygon EFGHJK is **40** units.
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